Results 1 to 10 of about 42 (38)

T_0 functional Alexandroff topologies are partial metrizable [PDF]

Applied General Topology
If f : X → X is a function, the associated functional Alexandroff topology on X is the topology whose closed sets are { A ⊆ X : f ( A ) ⊆ A } . We prove that every functional Alexandroff topology is pseudopartial metrizable and every T0 functional ...
Homeira Pajoohesh
doaj   +5 more sources

Interaction between cellularity of Alexandroff spaces and entropy of generalized shift maps [PDF]

, 2016
summary:In the following text for a discrete finite nonempty set $K$ and a self-map $\varphi : X\to X$ we investigate interaction between different entropies of generalized shift $\mathop{\sigma_\varphi:K^X\to K^X}$, ${(x_\alpha)_{\alpha\in X}\mapsto (x_{
Dolatabad, Sahar Karimzadeh, Shamloo, Sara, Shirazi, Fatemah Ayatollah Zadeh   +2 more
core   +1 more source

Sequential characterizations of metrizability [PDF]

, 1985
If W ( x ) W(x) (for each x ∈ X x \in X ) is a family of subsets each containing x x , various conditions on { W
G. M. Reed, M. E. Rudin, A. W. Roscoe, Roscoe, A.W., Reed, G.M., G.M. Reed, Rudin, M.E., M.E. Rudin, P. J. Collins, Jan Pochcial, Pochciał, Jan, P.J. Collins, Collins, P.J., A.W. Roscoe   +13 more
core   +1 more source

On local semirings induced by topologies: An algebraic approach to the Collatz conjecture

Applied General Topology
We present an algebraic approach to the Collatz conjecture by studying the topology τf  on ℕ induced by the Collatz function f, where the open sets θ ⊂ ℕ satisfy f-1 ( θ ) ⊂ θ .
Angel Guale, Jorge Vielma
doaj   +1 more source

Functional Alexandroff spaces

, 2021
ilustraciones, gráficasEn este trabajo se realiza un estudio de las propiedades que tienen los espacios funcionales de Alexandroff y se presenta una forma de caracterizarlos a través de su preorden de especialización.
Mesa Bueno, Julian David
core  

Maps generating the same primal space

, 2017
Alexandroff topologies play an enigmatic role in topology. An important family of Alexandroff topologies are the functional Alexandroff spaces introduced by Shirazi and Golestani, and called primal topologies by O. Echi.
Lazaar, Sami, Richmond, Tom, Turki, Tarek   +2 more
core  

Algebras, Graphs and Ordered Sets - ALGOS 2020 & the Mathematical Contributions of Maurice Pouzet. [PDF]

Order (Dordr), 2023
Couceiro M, Duffus D.
europepmc   +1 more source

Topological View of Flows Inside the BOLD Spontaneous Activity of the Human Brain. [PDF]

Front Comput Neurosci, 2020
Don APH, Peters JF, Ramanna S, Tozzi A.
europepmc   +1 more source

From Topological Analyses to Functional Modeling: The Case of Hippocampus. [PDF]

Front Comput Neurosci, 2020
Dabaghian Y.
europepmc   +1 more source

Espais d'Alexandroff

[ES] Un espacio topológico de Alexandroff es un tipo especial de espacio topológico que verifica que la intersección arbitraria de conjuntos abiertos es un conjunto abierto.
Mancero Mosquera, Marcelo Isaac
core